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Finding the Fourth Proportional to 9,302.54, 12,834.33 and 5,764.46

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Solution

The fourth proportional to 9,302.54, 12,834.33 and 5,764.46 is: 7,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.54 : 12,834.33 = 5,764.46 : x
  2. Step 2: Convert to fraction form
    9,302.54/12,834.33 = 5,764.46/x
  3. Step 3: Cross multiply
    9,302.54x = 12,834.33 × 5,764.46
  4. Step 4: Simplify right side
    9,302.54x = 73,982,981.91
  5. Step 5: Solve for x
    x = 73,982,981.91/9,302.54
  6. Step 6: Final answer
    x = 7,952.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.